Displaying similar documents to “A remark on expanding mappings”

Invariant measures and ideals on discrete groups

Andrzej Pelc

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CONTENTS0. Introduction...........................................51. Preliminaries.........................................72. Universal invariant measures..............133. Extensions of invariant measures........214. Saturation of ideals on groups............34References.............................................46

Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

Nikolay Tzvetkov, Nicola Visciglia (2013)

Annales scientifiques de l'École Normale Supérieure

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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.

Invariance identity in the class of generalized quasiarithmetic means

Janusz Matkowski (2014)

Colloquium Mathematicae

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An invariance formula in the class of generalized p-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.